Question

old pups was 35.52 log. The variance af the difference between the one week and two week pup weights was found to the average weight of adult female grey seals was 746.37 kg, the average walantot ara week old pups ans 31.94 kg and the average walant of two week 15 total psy Grey seals are capital breeders and stay with their pups until they are weaned. A group of researchers on Sable Island are interested in seeing whether there is a significant difference in the weight of one week old grey seal pups versus two week old pups. They measured the weight of 79 one week old pups, then weighed the hed the same pups again ane week later. The researchers found o be 15.04 Which of the following would be the reasearcher's correct null hypothesis? HOW Hol Wi-W2 - 30 HO: W1-12 My: WW2 SA Tries 0/1 Which of the following is the correct alternative hypothesis? M: W1 = 2 H: 12 Hii + 2 Hi Hi >> [pts)] Saw Tries 0/1 Calculate the test statistic [1 pts)) B: Tries 0/3 Calculate the 90% confidence interval for the difference in seal pup weights. Upper Um Lower Limit (1) Skrane Tries 1/3 Do we reject the null hypothesis at a significance level a = 0.17 Yes, we reject the null hypothesis No, we feil to reject the rull hypothesis 1 pts Tries /1

Answer 1

(a)

H0:

ul = u2

(b)

Ha: $\mu 1\neq \mu 2$

(c)

n = 29

$\bar{d}$ = 31.94 - 35.51

= - 3.57

Sd = V15.04 = 3.8781

$SE=\frac{s_{d}}{\sqrt{n}}=\frac{3.8781}{\sqrt{29}}=0.7201$

Test Statistic is given by:

$t=\frac{-3.57}{0.7201}=-4.9573$

Test Statistic = - 4.9573

(d)

$\alpha$ = 0.10

df = 29 - 1 = 28

From Table, critical values of t = $\pm$ 1.7011

Upper Limit = - 3.57 + (1.7011 X 0.7201)

               = - 3.57 +1.2250

               = - 2.3450

Upper Limit = - 3.57 - (1.7011 X 0.7201)

               = - 3.57 - 1.2250

               = - 4.7950

So,

Answer is:

Upper Limit = - 2.3450

Lower Limit = - 4.7950